Corks for Exotic Diffeomorphisms in 4-Manifolds

Watch a 53-minute mathematics lecture from Harvard CMSA where Professor Slava Krushkal from the University of Virginia explores the fascinating relationship between exotic smooth structures on simply-connected 4-manifolds and cork twists. Delve into cutting-edge research that examines how these structures are connected through the process of cutting out and re-gluing smooth contractible submanifolds. Learn about ongoing collaborative work with A. Mukherjee, M. Powell, and T. Warren that presents a localization result for exotic diffeomorphisms of 4-manifolds, while also examining practical applications to known examples of exotic diffeomorphisms in low dimensional topology.